What is the Greatest Common Factor of 32912 and 32929?

Greatest common factor (GCF) of 32912 and 32929 is 17.

GCF(32912,32929) = 17

We will now calculate the prime factors of 32912 and 32929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32912 and 32929.

How to find the GCF of 32912 and 32929?

We will first find the prime factorization of 32912 and 32929. After we will calculate the factors of 32912 and 32929 and find the biggest common factor number .

Step-1: Prime Factorization of 32912

Prime factors of 32912 are 2, 11, 17. Prime factorization of 32912 in exponential form is:

32912 = 2⁴ × 11² × 17¹

Step-2: Prime Factorization of 32929

Prime factors of 32929 are 13, 17, 149. Prime factorization of 32929 in exponential form is:

32929 = 13¹ × 17¹ × 149¹

Step-3: Factors of 32912

List of positive integer factors of 32912 that divides 32912 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 121, 136, 176, 187, 242, 272, 374, 484, 748, 968, 1496, 1936, 2057, 2992, 4114, 8228, 16456

Step-4: Factors of 32929

List of positive integer factors of 32929 that divides 32912 without a remainder.

1, 13, 17, 149, 221, 1937, 2533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32912 and 32929. The biggest common factor number is the GCF number.
So the greatest common factor 32912 and 32929 is 17.

Also check out the Least Common Multiple of 32912 and 32929